@article{642,
  abstract     = {Cauchy problems with SPDEs on the whole space are localized to Cauchy problems on a ball of radius R. This localization reduces various kinds of spatial approximation schemes to finite dimensional problems. The error is shown to be exponentially small. As an application, a numerical scheme is presented which combines the localization and the space and time discretization, and thus is fully implementable.},
  author       = {Gerencser, Mate and Gyöngy, István},
  issn         = {00255718},
  journal      = {Mathematics of Computation},
  number       = {307},
  pages        = {2373 -- 2397},
  publisher    = {American Mathematical Society},
  title        = {{Localization errors in solving stochastic partial differential equations in the whole space}},
  doi          = {10.1090/mcom/3201},
  volume       = {86},
  year         = {2017},
}